The opinion, based on speeds used in the movies, is that due to the Narada likely having 25th century tech (which we know to be slipstream drive, like on the Aventine), and the Federation/Klingons/whoever else having 20 some odd years to have gotten their hands on the tech or info, the New universe ships have either transwarp or quantum slipstream drive.

The author of that article is applying Voyager-era warp speed concepts to TOS which I think is a huge mistake. The original Enterprise zipped to the galactic rim twice (in "Where No Man Has Gone Before" and "By Any Other Name"), back to Earth, and the centre of the galaxy twice ("Magicks of Megas Tu" and Star Trek V: The Final Frontier). In "That Which Survives" the old Enterprise explicitly covers 1,000 light-years at warp 8.4 in 12 hours (for comparison, a month at that speed and they would have made Voyager's 75,000 light year journey!) The new movies are 100% in line with those. It's Voyager and the (non-canon) technical manuals which depicted warp speed as far slower than it used to be.

Something that I haven't seen anyone mention when they scream "The Enterprise went from Quo'nos to Earth in 47 seconds!" is that earlier in the film when they go from Earth to Quo'nos it takes them quite a while. I think it's obvious that most of the return journey wasn't shown.

Well it seems unlikely that the return trip would suddenly be much faster when they have a damaged warp core. I agree that the way the scenes were written it feels like just a minute or so, but there's no way that's possible.

The problem with the slipstream theory is that they always talk about warp drive, and the two technologies are different enough that I doubt they'd use the same name. Warp drive is supposed to work by distorting space as far as I know. Slipstream seems to be more of a wormhole type thing.

Well it seems unlikely that the return trip would suddenly be much faster when they have a damaged warp core.

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We don't really get a definitive sense of how long it took them to get to Klingon space in the first place, do we? I mean, in that case the editing allows for a longer trip, but it's vague enough that it could go either way. They might not have been at maximum speed. Also, the "sabotaged warp core" thing seems to be operating by Star Wars rules, so to speak, in which you either have functional hyperdrive/warp or you don't, as opposed to the damage actually making it slower.

I agree that the way the scenes were written it feels like just a minute or so, but there's no way that's possible.

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With the new timeline many things may be possible... but I agree that it's hard to swallow. We could try to work more time in somehow or write in that they dropped out of warp again somewhere along the way, but then we get into the question of why Marcus didn't catch them earlier.

Not to be a spoilsport but it seems as though the fault lies with the writing.

The new movie warp effect looks a lot like what we see in those rare occasions in TNG and DS9 when we see a ship accelerate to warp from the inside (pic HERE) It makes we wonder if the 'streaking stars' effect is just a holographic overlay meant to be easier on the crew's (and viewers!) eyes.